Folio 125 v (final text) |
1A | Altitudines semiparabolarum, quarum eadem sit amplitudo, reperire. |
1B | Id autem absolvitur per dimidiam tangentem arcum elevationis datae semiparabolae. |
1C | Inventa, ex dictis, altitudine, sublimitates singularum semiparabolarum, quarum eadem sit amplitudo, facile reperies. Nam, cum dimidia amplitudo mediet inter altitudinem et sublimitatem, diviso [quadrato] mediae amplitudinis per altitudinem, habebimus sublimitatem, quae postea, addita altitudini, exibet impetum. |
1D | Fabricemus ergo tabulam sublimitatum, sitque semper dimidia a[m]plitudo semiparabolae 5000. Eius [quadratum] semper idem 25000000. Elevatio sit gr[adus] 1, tangens ipsius 174 1/2, qualium tangens gr[adus] 45 est 10000. |
2 | tangens gr[adus] 1, 174 1/2. Eius dimidium 87 1/4: per hunc numerum divide [quadratum] 25000000. |
3 | Tabula Altitudinum semiparabolis ad singulos grados elevationis |
C01 | Elevationes | Altitudines | Sublimitas | Gr: 1 | 87 | 287356 | Gr. 2 | 175 1/2 | 142450 | 3 | 262 | 95802 | |
C02 | Gr.1 174 1/2 |
C03 | 91 91 92 93 95 95 96 98 98 99 101 103 103 106 107 108 111 114 113 95 98 |
C04 | Gr. 4 10000000 : 349 = 28653 50000000 : 349 = 143266 143062 |
C05 | 995? 1529[00] 162899 172299 |
C06 | 500000000 : 87 = 574758 286533 [* 2 =] 573066 |
C07 | 88 | 88 | 87 | 87 | 77 | 77 | 88 | 88 | 138 | 89 | 89 | 88 | 88 | 89 | 95 | 89 | 84 | 90 | 91 | 91 | 91 | 91 | |
C08 | Gr. 4 699 [: 2 =] 349 1/2 50000000 : 699 = 71531 |
C09 | G. 5. 50000000 : 875 = 57285 50000000 : 875 = 57142 |
C10 | G. 6. 50000000 : 1051 = 47573 |
C11 | G. 7. 1225 [: 2 =] 614 25000000 : 614 = 40716 |
C12 | G. 8. 50000000 : 1405 = 35587 |
C13 | G. 9. 1584 [: 2 =] 797 25000000 : 31368 25000000 : 792 = 31565 |
C14 | G. 10 50000000 : 1763 = 28367 |
C15 | G. 11. 1944 [: 2 =] 972 25000000 : 972 = 25720 |
C16 | |
C17 | G:12. 2125 1/2 [: 2 =] 1063 25000000 : 1063 = 25[?] 25000000 : 1063 = 23518 |
C18 | G. 13. 2303 [: 2 =] 1154 25[000000] : 1154 = 21701 50000000 : 2309 = 21654 25000000 : 1154 = 24[?] |
C19 | 701 - 654 = 47 2125 : 2 = 1062 |
C20 | 25000000 : 87 = 287356 100000000 : 349 = 286533 |
C21 | Gr. 2. dimid[?] 349. 25[000000] : 175 1/2 = 50000000 : 351 50000000 : 351 = 142450 |
C22 | G. 3 524 [: 2 =] 262 25000000 : 262 = 95802 |
C23 | G. 31. 50000000 : 6009 = 8336 |
C24 | G. 32 50000000 : 6249 = 8001 |
C25 | G33 6494 [: 2 =] = 3247 25000000 : 3247 = 7699 |
C26 | G34 50000000 : 6245 = 7413 |
C27 | G. 35. 50000000 : 7002 = 7141 |
C28 | G. 36. 5000000 : 7265 = 6882 |
C29 | G37. 7536 [: 2 =] 3768 25000000 : 3768 = 6635 |
C30 | Gr.1 | 174550 | | | | | 174657 | | Gr. 2 | 349207 | | 87 | | | 174871 | | Gr. 3 | 524078 | | 87 | | | 175191 | | Gr. 4 | 699269 | | 88 | | | 175617 | | Gr. 5 | 874886 | | 88 | | | 176804 | | Gr. 6 | 1051042 | | 88 | | | 176804 | | Gr. 7 | 1227846 | | 89 | | | 177562 | | Gr. 8 | 1405408 | | | | | 178436 | | Gr. 9 | 1583844 | | | Gr. 10 | | | | |
C31 | G. 14. 2493 [: 2 =] 1246 5000000 : 2493 = 20056 |
C32 | G. 15. 2679 [: 2 =] 1339 5000000 : 2679 = 18663 |
C33 | G. 16. 2867 [: 2 =] 1484 5000000 : 2867 = 17405 |
C34 | G. 17 3057 [: 2 =] 1529 5000000 : 3057 = 16355 |
C35 | Gr. 18. 3249 [: 2 =] 1629 5000000 : 3249 = 15390 |
C36 | G. 19. 3443 [: 2 =] 1722 5000000 : 3443 = 14522 |
C37 | Gr. 20. 3640 [: 2 =] 1820 25000000 : 1820 = 13736 |
C38 | Gr. 21 3839 [: 2 =] 1919 5000000 : 3829 = 13024 |
C39 | G. 22. 4040 [: 2 =] 2020 25000000 : 2020 = 12376 |
C40 | G. 23 4245 [: 2 =] 2123 5000000 : 4245 = 11778 |
C41 | G. 24 4452 [: 2 =] 2226 25000000 : 2226 = 11230 |
C42 | G. 25 4663 [: 2 =] 2332 5000000 : 4663 = 10722 |
C43 | G. 26. 5000000 : 4877 = 10253 |
C44 | G. 27 5000000 : 5095 = 9812 |
C45 | G. 28 5000000 : 5317 = 9404 |
C46 | G. 29 5000000 : 5543 = 9020 |
C47 | G. 30 5000000 : 5774 = 8659 |